Scratch

Try these scripts. I prefer option A, but B  and C work too.

A:
<when green flag clicked>
<forever>
<if><< <mouse down?> <and> <touching[ mousepointer >>
<go to[ mousepointer

B:
<when[ some sprite ]clicked>
<go to[ mouse pointer

C:
When you click on a sprite, directly to the right of it's name is a lock icon. Click it so that it is unlocked. Then, even in presentation mode, you can drag a sprite.

OPTIONAL:
To make sure that the sprite stays glued to the mousepointer, around each "go to[ mousepointer" you can put this block:

<repeat until><<  <not> <mouse down?> >>

Please tell me which one you end up using!